**LIST OF PUBLICATIONS **

of **Nikolai A. Simonov**

**BOOKS**:

[B94]

K.K.Sabelfeld and N.A.Simonov,

**Random walks on boundary for
solving PDEs.**

VSP, Utrecht, The Netherlands, 1994.

[B89]

O.A.Kurbanmuradov, K.K.Sabelfeld and N.A.Simonov,

**Algorithms of random walk along the boundary.**

Computing Center, Novosibirsk, 1989. (In Russian).

**REVIEWED ARTICLES:**

[A09]

M.O.Fenley, M.Mascagni, J.McClain, A.R.J.Silalahi and N.A.Simonov,

Using Correlated Monte
Carlo Sampling for Efficiently Solving the Linearized Poisson-Boltzmann Equation
Over a Broad Range of Salt Concentration

*J. Chem. Theory Comput.*, 2010, vol.6, No.1, pp.300–314.

[A07d]

N.A.Simonov, M.Mascagni and M.O.Fenley,

Monte Carlo-based linear Poisson-Boltzmann approach makes
accurate salt-dependent solvation free energy predictions possible

*J. Chem. Phys.*, 2007, vol.127, 185105 (6 pages).

[A07c]

N.A.Simonov,

Walk-on-Spheres Algorithm for Solving Boundary-Value Problems with Continuity
Flux Conditions

In: *Monte Carlo and Quasi-Monte Carlo Methods 2006*, Springer-Verlag,
Heidelberg, 2007, pp.633-644.

[A07b]

N.A.Simonov,

Random Walks for Solving Boundary-Value Problems with Flux Conditions,

In: *Lecture Notes in Computer Science*, Vol.4310, Springer-Verlag,
Heidelberg, 2007, pp.181-188.

[A07a]

N.A.Simonov,

Algorithms of random walk on spheres for solving mixed and Neumann
boundary-value problems,

*Siberian Journal of Numerical Mathematics*, 2007, vol.10, No.2,
pp.209-220. (In
Russian).

[A06b]

N.A.Simonov,

Monte Carlo methods for
solving elliptic equations with boundary conditions containing the normal
derivative,

*Doklady Academii Nauk*, 2006, vol.410, No.2, pp.164-167. (In Russian).

Engl. transl. in *Doklady Mathematics*, 2006, vol.74, No.2, pp.656-659.

[A06a]

A.Karaivanova and N.A.Simonov,

Quasi-Monte Carlo methods for investigating electrostatic properties of organic
pollutant molecules in solvent,

In: *Lecture Notes in Computer Science,* Vol.3743, Springer-Verlag, Heidelberg,
2006, pp.172-180.

[A05b]

N.Simonov and M.Mascagni,

The method of random walk on spheres for solving boundary-value problems from
molecular electrostatics,

In: *17th IMACS World Congress*, Paris, France, July 11-15, 2005. Proceedings.
ISBN 2-915913-02-1.*
T1-I-62-0945*

[A05a]

C.Fleming, M.Mascagni and N.Simonov,

An Efficient Monte Carlo Approach for Solving Linear Problems in Biomolecular
Electrostatics,

In: *Lecture Notes in Computer Science*, Vol.3516, Springer-Verlag, Heidelberg,
2005, pp.760-765.

[A04g]

N.A.Simonov and M.Mascagni,

Random walk algorithms for estimating electrostatic properties of large molecules.

In: *The International Conference on Computational Mathematics.
*Novosibirsk, Russia, June 21-25, 2004, Proceedings.

G.A.Mikhailov, V.P.Il'in, Y.M.Laevsky, eds.

- ICM&MG Publisher, Novosibirsk, 2004, pp.352-358.

[A04f]

A.Karaivanova, M.Mascagni and N.A.Simonov,

Parallel Quasi-random Walks on the Boundary.

*Monte Carlo Methods and Applications*,

2004, Vol.10, No.3-4, pp.311-320.

[A04e]

N.A.Simonov and M.Mascagni,

Random walk algorithms for estimating effective properties of digitized
porous media.

*Monte Carlo Methods and Applications*,

2004, Vol.10, No.3-4, pp.599-608.

[A04d]

C.-O.Hwang, M.Mascagni and N.A.Simonov,

Monte Carlo methods for the linearized
Poisson-Boltzmann equation.

In: *Advances in Numerical Analysis,* Nova Science, Hauppauge, NY, 2004.

[A04c]

M.Mascagni and N.A.Simonov,

Monte Carlo methods for calculating some physical properties of large molecules.

*SIAM Journal on Scientific Computing,
*2004, Vol.26, No.1, pp.339-357.

[A04b]

M.Mascagni and N.A.Simonov,

The random walk on the boundary method for calculating capacitance.

*The Journal of Computational Physics,
*2004, Vol.195, No.2, pp.465-473.

[A04a]

A.Karaivanova, M.Mascagni and N.A.Simonov,

Solving BVPs using quasirandom walks on the boundary.

In: *Lecture Notes in Computer Science*, Vol.2907, Springer-Verlag,
Heidelberg, 2004, pp.162-169.

[A03]

M.Mascagni and N.A.Simonov,

Monte Carlo method for calculating the electrostatic energy of a molecule.

In: *Lecture Notes in Computer Science*, Vol.2657, Springer-Verlag,
Heidelberg, 2003, pp.63-74.

[A02]

M.Mascagni and N.A.Simonov,

Random walk on the boundary methods for computing reaction rate and capacitance.

In: *The International Conference on Computational Mathematics.
*Novosibirsk, Russia, June 24-28, 2002, Proceedings.

G.A.Mikhailov, V.P.Il'in, Y.M.Laevsky, eds.

- ICM&MG Publisher, Novosibirsk, 2002, pp.238-242.

[A01b]

N.A.Simonov,

Monte Carlo solution of a parabolic equation with a random coefficient.

*Siberian Journal of Numerical Mathematics,*

2001, Vol.4, No.4, pp.389-402.

[A01a]

N.A.Simonov,

Nonlinear Monte Carlo estimators for parabolic equation.

In: * Simulation 2001, Proc. 4th St. Petersburg Workshop on Simulation,
*S.M.Ermakov, Y.N.Kashtanov and V.B.Melas, Eds.

St. Petersburg, 2001, pp.453-456.

[A98e]

W.Dreyer, M.Kunik, K.Sabelfeld, N.Simonov and K.Wilmanski,

Iterative procedure for multidimensional Euler equations.

*Monte Carlo Methods and Applications, *

1998, Vol.4, No.3, pp.253-271.

[A98d]

N.A.Simonov,

Stochastic iterative method for a system of parabolic equations

*ZAMM,*

1998, Vol.78, Suppl.1, S185-S188.

[A98c]

N.A.Simonov,

Monte Carlo methods for a diffusion equation with a random absorption

coefficient.

*Preprint No.1127*. Institute of Computational Mathematics

and Mathematical Geophysics, 1998. (In Russian).

[A98b]

N.A.Simonov,

Decomposition-based Monte Carlo method for the heat equation.

In: *Mathematical methods in stochastic simulation and experimental
design. Proc. of the 2nd St. Petersburg Workshop on simulation,
St. Petersburg, June 28 - July 3, 1998.*

St. Petersburg, Pub. House of St. Petersburg University, 1998, pp.132-136.

[A98a]

N.A.Simonov,

Monte Carlo solution to three-dimensional vorticity equation.

*Mathematics and Computers in Simulation,*

1998, Vol.47, No.2-5, pp.455-459.

[A97c]

N.A.Simonov,

Stochastic computational methods for parabolic equations with random data.

IMACS World Congress. Berlin, Germany, August 24-29, 1997.

Proceedings. Vol.1.Computational Mathematics, pp.449-452.

[A97b]

N.A.Simonov,

Monte Carlo methods for convective diffusion equation.

1997, Vol.12, No.1, pp.67-81.

[A97a]

N.A.Simonov,

Stochastic iterative methods for solving equations of parabolic type.

[A96b]

N.A.Simonov,

Monte Carlo solution of the first boundary value problem

for parabolic equation.

In:

design. Proc. of the 2nd St. Petersburg Workshop on simulation,

St. Petersburg, June 18-21, 1996.

St. Petersburg, Pub. House of St. Petersburg University, 1996,

pp.109-111.

[A96a]

N.A.Simonov,

Solution by the Monte Carlo method of the first boundary value

problem for parabolic equations.

Computing Center, Novosibirsk, 1996, pp.129-145. (In Russian).

[A95c]

N.A.Simonov,

Stochastic algorithms of solving first boundary value problem

and Cauchy problem for a convective diffusion equation.

Computing Center, Novosibirsk, 1995. (In Russian).

[A95b]

N.A.Simonov,

Boundary value problem and stochastic algorithm for

two-dimensional Navier-Stokes equations.

[A95a]

N.A.Simonov,

Stochastic algorithm for solving two-dimensional boundary layer

equations.

1995, Vol.2, No.1, pp.41-56.

[A93c]

N.A.Simonov,

Solution of two-dimensional Prandtl equations by the Monte Carlo method.

Computing Center, Novosibirsk, 1993, pp.83-102.

[A93b]

N.A.Simonov,

Monte Carlo solution of the nonlinear integral equation system

in the boundary layer theory.

1993, Vol.8, No.3, pp. 265-274.

[A93a]

N.A.Simonov,

Monte Carlo estimate of the solution of the system

of integral equations given rise by the Prandtl equations.

Computational Mathematics. Issue 1.

Computing Center, Novosibirsk, 1993, pp.107-112. (In Russian).

[A91]

V.S.Vyshemirskij, V.I.Simonova and N.A.Simonov,

Search for oil deposits in Western Siberia by pine needles.

[A88]

N.A.Simonov,

Random estimates for derivatives of the solution of Neumann's problem

near the domain boundary.

In:

Computing Center, Novosibirsk, 1988, pp.76-87. (In Russian).

[A86b]

N.A.Simonov,

Statistical modelling algorithms for solving elliptic

equations of the second order.

Computing Center, Novosibirsk, 1986. (In Russian).

[A86a]

N.A.Simonov,

Solution of the boundary integral equation for third boundary

value problem by the Monte Carlo method.

In:

Computing Center, Novosibirsk, 1986, pp.53-59. (In Russian).

[A85]

N.A.Simonov,

On the randomization of the iterative processes for solving

equations of the first kind.

In:

Computing Center, Novosibirsk, 1985, pp.31-37. (In Russian).

[A84c]

K.K.Sabelfeld and N.A.Simonov,

The solution of space problems of elasticity theory in deterministic and stochastic formulations by the Monte Carlo method.

Dokl. Akad. Nauk SSSR

(Engl. transl. in

[A84b]

N.A.Simonov,

A modification of the random walk over spheres algorithm which is convenient for practical application.

(Engl. transl. in

[A84a]

N.A.Simonov,

Random walk on boundary algorithms for solving

some boundary value problems.

Computing Center, Novosibirsk, 1984. (In Russian).

[A83d]

N.A.Simonov,

Elaboration and realization of random walk algorithms for solving

boundary value problems of mathematical physics.

[A83c]

N.A.Simonov,

Simulation of paths of random walk on boundary

using the analytical continuation.

In:

Computing Center, Novosibirsk, 1983, pp.40-44. (In Russian).

[A83b]

N.A.Simonov,

A random walk algorithm for the solution

of boundary value problems with partition into subdomains

In:

Computing Center, Novosibirsk, 1983, pp.48-58. (In Russian).

[A83a]

K.K.Sabelfeld and N.A.Simonov,

Algorithms of random walk on boundary for solving

boundary value problems.

Novosibirsk, 1983, Vol.14, No.1, pp.116-134. (In Russian).

[A82]

N.A.Simonov,

General-purpose program of Monte Carlo method for solving

Dirichlet problem for the Laplace equation.

Moscow, 1982, No.6(50), p.28. (In Russian).

[A81]

N.A.Simonov,

Numerical realization of 'walk on spheres' algorithm

for the particular class of three-dimensional domains.

Novosibirsk, 1981, Vol.12, No.6, pp.90-96. (In Russian).

[A80]

N.A.Simonov,

Algorithms for computing the simplified model of reactor cell.

In:

Computing Center, Novosibirsk, 1980, pp.141-150. (In Russian).